1,2,3,4,5,6,7,8,9,

**1**,2,3,4,5,6,7,8,9,10,

**2**,3...

Most terms of the sequence are 1 more than the previous term but some are not. The first two are shown in bold above.

Create the sequence of terms of A007953 that are not 1 more than the previous term.

Prove or disprove: This new sequence is the same as the original sequence.